Abstract
We introduce a new geometric, rank-based model for the link structure of on-line social networks (OSNs). In the geo-protean (GEO-P) model for OSNs nodes are identified with points in Euclidean space, and edges are stochastically generated by a mixture of the relative distance of nodes and a ranking function. With high probability, the GEO-P model generates graphs satisfying many observed properties of OSNs, such as power law degree distributions, the small world property, densification power law, and bad spectral expansion. We introduce the dimension of an OSN based on our model, and examine this new parameter using actual OSN data.
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Bonato, A., Janssen, J., Prałat, P. (2010). The Geometric Protean Model for On-Line Social Networks. In: Kumar, R., Sivakumar, D. (eds) Algorithms and Models for the Web-Graph. WAW 2010. Lecture Notes in Computer Science, vol 6516. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18009-5_11
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DOI: https://doi.org/10.1007/978-3-642-18009-5_11
Publisher Name: Springer, Berlin, Heidelberg
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